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Math lesson plan · 4th grade (Year 5 in England) · 45 minutes

Use rounding to check if an answer is reasonable

Addition and subtraction

CCSS 4.OA.A.3CCSS 4.NBT.A.3England: Y5 Addition and subtraction

Objective and success criteria

Students will: Use rounding to check if an answer is reasonable.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Estimate sums and differences; Round multi-digit numbers

Leads to: the next skill in this area.

Materials: Base-ten blocks, Number lines, Hundred square, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Estimate sums and differences; Round multi-digit numbers). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. Estimate 636 + 590 by rounding each number to the nearest hundred first. → 1200Prompt: Round 636 to the nearest 100.
  2. Round 5912 to the nearest 100. → 5900Prompt: Which two multiples of 100 is it between?
  3. Elena wants to estimate 656 − 122. Which is the best estimate? (1600 / 500 / 700 / 600) → 600Prompt: Round both numbers to the nearest hundred.

Hook · 5 min

  • Give a real shopping total or a score difference and ask for a quick estimate first.
  • Share the objective: Use rounding to check if an answer is reasonable. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: Estimate 7242 − 3757 by rounding each number to the nearest thousand.
  • Step 1: 7242 ≈ 7000, 3757 ≈ 4000
  • Step 2: 7000 − 4000 = 3000
  • Answer: 3000
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. Estimate 2891 + 5220 by rounding each number to the nearest thousand. → 8000Prompt: Round each number first.
  2. Grace added 52 014 + 26 511 and got 78 525. Round to the nearest ten thousand to estimate. Is Grace's answer reasonable? (yes / no) → yesPrompt: Round both numbers to the nearest 10 000.

You do: independent practice · 10 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Estimate 7141 − 5097 by rounding each number to the nearest thousand. → 2000Prompt: Round each number first.
  2. Isla added 43 388 + 26 836 and got 60 224. Round to the nearest ten thousand to estimate. Is Isla's answer reasonable? (yes / no) → noPrompt: Round both numbers to the nearest 10 000.

Watch out for

  • Subtracting the smaller digit from the bigger one in every column (52 − 17 = 45).
  • Forgetting to add the regrouped (carried) ten.

Support and stretch

Support

  • Review first: Estimate sums and differences.
  • Use concrete materials: base-ten blocks.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-4.

Free lesson plan from eurekami.com/lesson-plan-builder

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Use rounding to check if an answer is reasonable

Name

Date

Score/ 8

  1. Question 1

    Amara added 49 605 + 22 374 and got 61 979. Round to the nearest ten thousand to estimate. Is Amara's answer reasonable?

    • A. yes
    • B. no
  2. Question 2

    Estimate 7586 − 3466 by rounding each number to the nearest thousand.

    Answer

  3. Question 3

    Sofia added 26 839 + 13 064 and got 39 903. Round to the nearest ten thousand to estimate. Is Sofia's answer reasonable?

    • A. yes
    • B. no
  4. Question 4

    Estimate 8692 + 8487 by rounding each number to the nearest thousand.

    Answer

  5. Question 5

    Hana added 56 343 + 15 515 and got 71 858. Round to the nearest ten thousand to estimate. Is Hana's answer reasonable?

    • A. yes
    • B. no
  6. Question 6

    Estimate 5461 − 5225 by rounding each number to the nearest thousand.

    Answer

  7. Question 7

    Ava added 57 982 + 16 107 and got 74 089. Round to the nearest ten thousand to estimate. Is Ava's answer reasonable?

    • A. yes
    • B. no
  8. Question 8

    Estimate 5478 + 5280 by rounding each number to the nearest thousand.

    Answer

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Answer key: Use rounding to check if an answer is reasonable

  1. 1. B. no

  2. 2. 5000

  3. 3. A. yes

  4. 4. 17000

  5. 5. A. yes

  6. 6. 0

  7. 7. A. yes

  8. 8. 10000